STOCHASTIC INDICATOR ANALYSIS OF CONTAMINATED SITES

Citation
G. Christakos et Dt. Hristopulos, STOCHASTIC INDICATOR ANALYSIS OF CONTAMINATED SITES, Journal of Applied Probability, 34(4), 1997, pp. 988-1008
Citations number
15
ISSN journal
00219002
Volume
34
Issue
4
Year of publication
1997
Pages
988 - 1008
Database
ISI
SICI code
0021-9002(1997)34:4<988:SIAOCS>2.0.ZU;2-P
Abstract
We formulate stochastic indicator parameters that characterize polluti on levels in geographical regions with heterogeneous contaminant distr ibutions. The indicator parameters are expressed in terms of the rando m fields representing the contaminant distributions and the critical t hreshold level specified by health and environmental standards. Certai n theoretical results are proven regarding univariate and bivariate in dicator parameters. The analytical expressions obtained are general an d can be used in practice for various types of contaminant distributio ns. A test of ergodicity-breaking is suggested for scientific and engi neering applications in terms of the indicator parameters. Fractal cha racteristics of the indicator parameters are discussed. The effects of modelling and observation scale on exceedance contamination analysis are examined. Indicator random field parameters are studied on both co ntinuum and lattice domains using analytical means and numerical simul ations.